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Finding the Third Proportional to 115,664 and 267,742

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Solution

The third proportional to 115,664 and 267,742 is: 619,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,664 : 267,742 = 267,742 : x
  2. Step 2: Convert to fraction form
    115,664/267,742 = 267,742/x
  3. Step 3: Cross multiply
    115,664x = 267,742 × 267,742
  4. Step 4: Simplify right side
    115,664x = 71,685,778,564
  5. Step 5: Solve for x
    x = 71,685,778,564/115,664
  6. Step 6: Final answer
    x = 619,776.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.